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Finding the Fourth Proportional to 223,675.51, 335,409.58 and 83,396.47

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Solution

The fourth proportional to 223,675.51, 335,409.58 and 83,396.47 is: 125,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,675.51 : 335,409.58 = 83,396.47 : x
  2. Step 2: Convert to fraction form
    223,675.51/335,409.58 = 83,396.47/x
  3. Step 3: Cross multiply
    223,675.51x = 335,409.58 × 83,396.47
  4. Step 4: Simplify right side
    223,675.51x = 27,971,974,241.90
  5. Step 5: Solve for x
    x = 27,971,974,241.90/223,675.51
  6. Step 6: Final answer
    x = 125,056.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.